Best proximity point theorems for weak cyclic Bianchini contractions

DOI: https://doi.org/10.37193/CMI.2018.01.10

Following the technique introduced in [Eldred, A. A. and Veeramani, P., Existence and convergence of best proximity points, J. Math. Anal. Appl., 323 (2006), 1001–1006], in this paper we will extend Bianchini’s fixed point theorem to best proximity point type theorem. We introduce a new class of contractive conditions, called weak cyclic Bianchini contractions.